Question 1 (1 point) Listen A particle is moving with the given data. Find the position of the particle. v(t) = sint - cost, s(0) = 2 ( a) s(t) = 3-cost- sint O b) s(1) = 1-t- sint c) s(t) = cost - sint O d) s (t ) = cost O e) s(t) = 1-cost + sintQuestion 2 (1 point) Listen 3 8x2 - 7x+5 Evaluate the integral dx. X ( a) 50+ 5In3 ( b) 50+3In5 c) 18+31n5 ( d) 18+5In3Question 3 (1 point) Listen Find f. f'(x) = 3cos(x) + 7sin(x). f(0) = 8 O a) f(x) = 3sin(x) + 4cos(x)+11 O b) f (x) = sin(x) + cos(x) +7 O c) f (x) = -3sin(x) -4cos(x) + 7 O d) f(x) = 3sin(x)- 7cos(x) + 15 O e) f(x) = 3sin(3x) + 4cos(4x) +7Estimate the area from O to 5 under the graph of f(x) = 64 - x2 using ve approximating rectangles and right endpoints. O a) 267 O b) 266 O C) 264 Q d) 265 O 6) 263 Question 5 (1 point) Listen X dx, if the substitution u = 9 + x is used, then the integral can be written as: In the definite integral 9+x- O al Ja du 2Vu Ob) S du 1 du O d) J. 1 du 0 2VuQuestion 6 (1 point) Listen In the following definite integral with substitution u = Inx, find the new limits of the integral. du dx xinx a Oa) a=e, b = et Ob) none O cha=1, b = In4 O d) a = 1, b =4Question 9 (1 point) Listen Find the indefinite integral. (5-6x4+ 2x8) dx O a) 2 -x 6 4+ 5 x + C 5 (b) 5x- 6x5+ 2x+ C O c) 5x-24x3+ 16x +C Od) 2x9 - 9x5 + 5x + C